10010001000107 has 2 divisors, whose sum is σ = 10010001000108. Its totient is φ = 10010001000106.

The previous prime is 10010001000089. The next prime is 10010001000179. The reversal of 10010001000107 is 70100010001001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010001000107 is a prime.

It is a super-2 number, since 2×10010001000107² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010001000707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000500053 + 5005000500054.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000500054).

Almost surely, 2^{10010001000107} is an apocalyptic number.

10010001000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001000107 is an equidigital number, since it uses as much as digits as its factorization.

10010001000107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 11.

Adding to 10010001000107 its reverse (70100010001001), we get a palindrome (80110011001108).

The spelling of 10010001000107 in words is "ten trillion, ten billion, one million, one hundred seven", and thus it is an aban number.